Generalized Weyl Quantization, Coherent State Quantization and Time in Quantum Mechanics
In this paper we consider two quantization techniques, the generalized Weyl quan- tization and coherent state quantization using the time of arrival functions as our object of quantization. Here time of arrival functions are expressed in different phase space variables, viz. R 2 , [−π, π) × ~Z...
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ph-ateneo-arc.theses-dissertations-16632021-10-06T05:00:04Z Generalized Weyl Quantization, Coherent State Quantization and Time in Quantum Mechanics Romeo, Daisy In this paper we consider two quantization techniques, the generalized Weyl quan- tization and coherent state quantization using the time of arrival functions as our object of quantization. Here time of arrival functions are expressed in different phase space variables, viz. R 2 , [−π, π) × ~Z and [−π, π) × R+ (forward cone). For each phase space there is a corresponding group of symmetry associated with it, and the groups are the Heisenberg group, S 1 × Z and E(2). In our quantization we also consider the different ordering schemes, both in generalized Weyl and coherent state quantizations. The computation of quantum expected values were done for both quantization methods. The novel results in this work are not only a contribution to the field of quantization but also to the field of phase space quantum mechanics. Moreover, many of the results involving coherent states are relevant to the parallel field of Signal Analysis. 2021-01-01T08:00:00Z text https://archium.ateneo.edu/theses-dissertations/537 Theses and Dissertations (All) Archīum Ateneo Coherent State Quantization, Weyl Quantization, Weyl Ordering, Sym- metric Ordering, Born-Jordan Ordering, Wigner function, Wigner Functions, Quantum Expectation Values |
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Coherent State Quantization, Weyl Quantization, Weyl Ordering, Sym- metric Ordering, Born-Jordan Ordering, Wigner function, Wigner Functions, Quantum Expectation Values |
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Coherent State Quantization, Weyl Quantization, Weyl Ordering, Sym- metric Ordering, Born-Jordan Ordering, Wigner function, Wigner Functions, Quantum Expectation Values Romeo, Daisy Generalized Weyl Quantization, Coherent State Quantization and Time in Quantum Mechanics |
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In this paper we consider two quantization techniques, the generalized Weyl quan- tization and coherent state quantization using the time of arrival functions as our object of quantization. Here time of arrival functions are expressed in different phase space variables, viz. R 2 , [−π, π) × ~Z and [−π, π) × R+ (forward cone). For each phase space there is a corresponding group of symmetry associated with it, and the groups are the Heisenberg group, S 1 × Z and E(2). In our quantization we also consider the different ordering schemes, both in generalized Weyl and coherent state quantizations. The computation of quantum expected values were done for both quantization methods. The novel results in this work are not only a contribution to the field of quantization but also to the field of phase space quantum mechanics. Moreover, many of the results involving coherent states are relevant to the parallel field of Signal Analysis. |
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text |
author |
Romeo, Daisy |
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Romeo, Daisy |
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Romeo, Daisy |
title |
Generalized Weyl Quantization, Coherent State Quantization and Time in Quantum Mechanics |
title_short |
Generalized Weyl Quantization, Coherent State Quantization and Time in Quantum Mechanics |
title_full |
Generalized Weyl Quantization, Coherent State Quantization and Time in Quantum Mechanics |
title_fullStr |
Generalized Weyl Quantization, Coherent State Quantization and Time in Quantum Mechanics |
title_full_unstemmed |
Generalized Weyl Quantization, Coherent State Quantization and Time in Quantum Mechanics |
title_sort |
generalized weyl quantization, coherent state quantization and time in quantum mechanics |
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Archīum Ateneo |
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2021 |
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https://archium.ateneo.edu/theses-dissertations/537 |
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1715215771905294336 |